3 years ago

Please differentiate this problem

Mathematics

1 answer:

strojnjashka [21]3 years ago

5 0

Answer:

dy/dx = d/dx sin(x-3/x+2)

dy/dx = cos(x-3/x+2) . d/dx (x-3/x+2)

dy/dx = cos(x-3/x+2) . (x + 2 - x + 3)/(x+2)²

dy/dx = [5cos(x-3/x+2)]/(x + 2)²

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GC = 4x + 5, CF = 3x – 2, and GF = 24. What is the value of x?

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G = F(4x+5)/ 3x-2
C = (4x+5) (3x-2)/ 24C
F = 3x-2/C

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How many solutions does this linear system have? y = y equals StartFraction 2 over 3 EndFraction x plus 2.x+ 2 6x – 4y = –10

Ira Lisetskai [31]

Answer:

The system has one solution

Step-by-step explanation:

we have the system of equations

$y=\frac{2}{3}x+2$ ----> equation A

$6x-4y=-10$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$6x-4(\frac{2}{3}x+2)=-10$

$6x-\frac{8}{3}x-8=-10$

Solve for x

Multiply by 3 both sides to remove the fraction

$18x-8x-24=-30$

Combine like terms

$10x=-30+24$

$10x=-6$

$x=-\frac{6}{10}$

Simplify

$x=-\frac{3}{5}$

<em>Find the value of y</em>

$y=\frac{2}{3}(-\frac{3}{5})+2$

$y=-\frac{6}{15}+2$

$y=\frac{24}{15}$

Simplify

$y=\frac{8}{5}$

The solution of the system is the point $(-\frac{3}{5},\frac{8}{5})$

therefore

The system has one solution

4 0

3 years ago

Read 2 more answers

Which of the following represents a closer relationship between two variables?a) r =.00.b) r = .50.c) r = -30. d) r = -65.

Zanzabum

Answer:

d) r = -65.

Step-by-step explanation:

The absolute value of r represents the relationship strength and the sign represents the relationship direction

Also if the relationship is nearest to 1 then it would be termed as positive correlated and if the relationship is nearest to -1 then it would be termed as negative correlated

Therefore based on the given options, the last option is correct

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3 years ago